MAT286-2005Springns

MAT286-2005Springns - MAT286 Final Exam May 9, 2005 1....

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: MAT286 Final Exam May 9, 2005 1. Integrate the following indefinite integrals: (a). Z 1 x 2 + 3 x- x 4 + sin( x )- tan( x ) dx . (b). Z x 3 ( x 4 + 10 ) 1 4 dx 2. Evaluate the following definite integrals: (a). Z 2 x x 2 + 1 dx (b). Z 2 cos x 4 dx 1 2 3. An object is moving along a line with acceleration a ( t ) =- 2 t 2 + t meters / hour 2 . Initially, its velocity is 1 meter / hour and its position on the line is at the 3 meter mark. (a). Find the velocity v ( t ) of the object at time t . (b). Find the position s ( t ) of the object at time t . 4. (a). Set up integral(s) for the area between the curves y = x 2 and y = 8- x 2 . Make a sketch. Do NOT evaluate. (b). Set up integral(s) for the area between the curves y = x and y = x 3 . Make a sketch. Do NOT evaluate. 3 5. Evaluate the following indefinite integrals: (a). Z ( x + 1) sin(2 x ) dx (b). Z 2 x 2 e 2 x dx 6. A solid of revolution is formed by rotating about the x-axis the region bounded by the curve from y = x (4- x 2 ) from x = 1 to x = 2. Find the volume of the solid. 4...
View Full Document

Page1 / 7

MAT286-2005Springns - MAT286 Final Exam May 9, 2005 1....

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online